Question Number 56358 by harish 12@g last updated on 15/Mar/19
$$\int_{\mathrm{0}} ^{\infty} \left(\mathrm{cot}^{−\mathrm{1}} {x}\right)^{\mathrm{2}} {dx} \\ $$$$ \\ $$
Commented by MJS last updated on 15/Mar/19
$$=\pi\mathrm{ln}\:\mathrm{2} \\ $$
Commented by harish 12@g last updated on 16/Mar/19
$${ful}\:{ans}. \\ $$
Commented by MJS last updated on 16/Mar/19
$$\mathrm{I}\:\mathrm{approximated}\:\mathrm{and}\:\mathrm{then}\:\mathrm{tried}\:\mathrm{if}\:\mathrm{my}\:\mathrm{result} \\ $$$$\mathrm{is}\:\mathrm{something}\:\mathrm{exact}… \\ $$$$\mathrm{the}\:\mathrm{integral}\:\mathrm{cannot}\:\mathrm{be}\:\mathrm{solved}\:\mathrm{elementarily} \\ $$